Flashcards in Complex Numbers Deck (6)
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1
Give the cartesian form of a complex number
z = x + iy
2
Give the polar form of a complex number
r = eiθ
r = modulus/absolute value/magnitude. |z| = √(x2+y2)
tanθ = (y/x). Draw out diagrams!!
3
Define i
i2 = -1
i is the square root of -1
4
Define the modulus of a complex number, r
Also known as the magnitude or absolute value.
r = √x2 + y2
5
Define the argument of a complex number
θ is the argument.
θ = tan-1(y/x)
6
Describe the process of finding roots
By multiplying r by e2nπi before taking roots, all solutions to the equation can be found